Abstract
Microscopic expressions for the elastic constants of liquid crystals composed of biaxial or uniaxial molecules are derived in the case of a weak anchoring, small distortions, and a small density. Both biaxial and uniaxial phases are considered. The expressions involve the one-particle distribution function and the potential energy of two-body short-range interactions. The theory was used to calculate the temperature dependence of the elastic constants for a system of rigid molecules similar to elipsoids with three different axes.
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